Question Four
(a) Express in the form LU the matrix
0.7 -5.4 1.0
3.5 2.2
0.8
1.0 -1.5 4.3
where L is the lower triangular matrix with unit elements on its diagonal and U is the upper
[10 marks]
triangular matrix.
(b) Solve the equation
10.27x, -1.23x2 +0.67x, = 4.27
2.39x, -12.65x2 +1.13x3 = 1.26
1.79x, +3.61x2 +15.11x, = 12.71
by using Gauss-Seidel iteration process.
[10 marks]